wireless connection with arduino

hiii everyone
i m new to this forum
i need some help with my project
i am doing a project with arduino that allows to send sms from mobile phone which is received by the gsm shield and in turn to
display the message on the lcd screen(more or like a watch(smartwatch)).can i achieve this connectivity wirelessly??
also i need to have butttons to scroll over to next and previous messages.can this be achieved??if so pls expalin

thnx in advance